Let A be an m × n matrix and Ban n × m matrix. It is given that determinant ($$I$$m + AB) = determinant ($$I$$n + BA), where $$I$$k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is
\[\left[ {\begin{array}{*{20}{c}}
2&1&1&1 \\
1&2&1&1 \\
1&1&2&1 \\
1&1&1&2
\end{array}} \right]\]
A. 2
B. 5
C. 8
D. 16
Answer: Option B
This Question Belongs to Engineering Maths >> Linear Algebra
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